# Load in libraries
library(beeswarm)
library(naniar)
library(zoo)
library(janitor)
library(dplyr)
library(plyr)
library(tidyverse)
library(ggplot2)
library(GGally) # for ggpairs
library(lubridate)
# Load in data (only care about census to cluster on)
cases_plus_census <- read_csv("./../project_1/data/COVID-19_cases_plus_census.csv")
── Column specification ──────────────────────────────────────────────────────────────────────────────────────────
cols(
.default = col_double(),
county_fips_code = col_character(),
county_name = col_character(),
state = col_character(),
state_fips_code = col_character(),
date = col_date(format = ""),
geo_id = col_character(),
pop_5_years_over = col_logical(),
speak_only_english_at_home = col_logical(),
speak_spanish_at_home = col_logical(),
speak_spanish_at_home_low_english = col_logical(),
pop_15_and_over = col_logical(),
pop_never_married = col_logical(),
pop_now_married = col_logical(),
pop_separated = col_logical(),
pop_widowed = col_logical(),
pop_divorced = col_logical()
)
ℹ Use `spec()` for the full column specifications.
cases_plus_census
# Add in the attributes we want to use
cols_keep <- c("county_fips_code", "county_name", "state", "confirmed_cases", "deaths", "median_income", "male_pop", "female_pop", "total_pop", "median_age", "worked_at_home", "male_65_to_66", "male_67_to_69",
"male_70_to_74", "male_75_to_79", "male_80_to_84",
"male_85_and_over", "female_65_to_66", "female_67_to_69",
"female_70_to_74", "female_75_to_79", "female_80_to_84",
"female_85_and_over")
subset_census <- cases_plus_census[cols_keep]
subset_census$male_elderly_pop <- subset_census %>% select(c("male_65_to_66",
"male_67_to_69",
"male_70_to_74",
"male_75_to_79",
"male_80_to_84",
"male_85_and_over")
) %>% rowSums()
subset_census$female_elderly_pop <- subset_census %>% select(c("female_65_to_66",
"female_67_to_69",
"female_70_to_74",
"female_75_to_79",
"female_80_to_84",
"female_85_and_over")
) %>% rowSums()
cols_keep <- c("county_fips_code", "county_name", "state", "confirmed_cases", "deaths", "median_income",
"male_pop", "female_pop", "total_pop", "median_age",
"worked_at_home", "male_elderly_pop", "female_elderly_pop")
subset_census <- subset_census[cols_keep]
subset_census <- subset_census %>%
mutate(county_fips_code = as.integer(county_fips_code)) %>%
mutate(state = as.factor(state))
columnNames <- colnames(subset_census)
keep_cols <- columnNames[!columnNames %in% c("county_fips_code", "county_name")]
# Aggregate by states (probably better way to do this but had issues with mean median income)
mm_income <- subset_census %>% select(keep_cols) %>% group_by(state) %>%
summarise_at(c("median_income", "median_age"), mean) %>% ungroup() %>%
dplyr::rename(mean_median_income = median_income) %>%
dplyr::rename(mean_median_age = median_age)
keep_cols <- columnNames[!columnNames %in% c("county_fips_code", "county_name", "median_income", "median_age")]
agg_state_info <- subset_census %>% select(keep_cols) %>% group_by(state) %>%
summarize_if(is.numeric, sum) %>% ungroup() %>%
left_join(mm_income, by="state")
# Aggregated state information (not normalized!)
agg_state_info
# To be able to compare properly, convert to percentages for aggregated population stats
# Infections/deaths
subset_census$pct_infected <- subset_census$confirmed_cases/subset_census$total_pop
subset_census$pct_deaths <- subset_census$deaths/subset_census$total_pop
subset_census$mortality_rate <- subset_census$deaths/subset_census$confirmed_cases
# Male/female info
subset_census$pct_male_population <- subset_census$male_pop/subset_census$total_pop
subset_census$pct_female_population <- subset_census$female_pop/subset_census$total_pop
# Intermediate calculation
subset_census$elderly_pop <- subset_census$male_elderly_pop + subset_census$female_elderly_pop
# Elderly Info
subset_census$pct_elderly <- subset_census$elderly_pop/subset_census$total_pop
subset_census$pct_male_elderly <- subset_census$male_elderly_pop/subset_census$total_pop
subset_census$pct_female_elderly <- subset_census$female_elderly_pop/subset_census$total_pop
# Work from home
subset_census$pct_worked_at_home <- subset_census$worked_at_home/subset_census$total_pop
# Only keep newly made values
cols_keep <- c("county_fips_code", "county_name", "state", "pct_infected",
"pct_deaths", "mortality_rate", "pct_elderly", "pct_male_elderly",
"pct_female_elderly", "pct_male_population",
"pct_female_population", "pct_worked_at_home",
"median_income", "median_age")
subset_census <- subset_census[cols_keep]
subset_census
# Percentages for state specific data
# Infections/deaths
agg_state_info$pct_infected <- agg_state_info$confirmed_cases/agg_state_info$total_pop
agg_state_info$pct_deaths <- agg_state_info$deaths/agg_state_info$total_pop
agg_state_info$mortality_rate <- agg_state_info$deaths/agg_state_info$confirmed_cases
# Male/female info
agg_state_info$pct_male_population <- agg_state_info$male_pop/agg_state_info$total_pop
agg_state_info$pct_female_population <- agg_state_info$female_pop/agg_state_info$total_pop
# Intermediate calculation
agg_state_info$elderly_pop <- agg_state_info$male_elderly_pop + agg_state_info$female_elderly_pop
# Elderly Info
agg_state_info$pct_elderly <- agg_state_info$elderly_pop/agg_state_info$total_pop
agg_state_info$pct_male_elderly <- agg_state_info$male_elderly_pop/agg_state_info$total_pop
agg_state_info$pct_female_elderly <- agg_state_info$female_elderly_pop/agg_state_info$total_pop
# Work from home
agg_state_info$pct_worked_at_home <- agg_state_info$worked_at_home/agg_state_info$total_pop
# Only keep newly made values
cols_keep <- c("state", "pct_infected", "pct_deaths", "mortality_rate",
"pct_elderly", "pct_male_elderly", "pct_female_elderly",
"pct_male_population", "pct_female_population",
"pct_worked_at_home", "mean_median_income", "mean_median_age")
agg_state_info <- agg_state_info[cols_keep]
agg_state_info
# Normalized attributes function
scale_numeric <- function(x) x %>% mutate_if(is.double, function(y) as.vector(scale(y)))
# Normalized full census data (with mean and std based on counties from all of U.S.)
census_normed <- subset_census %>% scale_numeric()
# Normalized state info (with mean and std based on counties from all of U.S.)
agg_state_info_normed <- agg_state_info %>% scale_numeric()
# These are the ones to use for clustering
census_normed
agg_state_info_normed
# Saving to csv for better loading in other branches
write_csv(census_normed, "./../datasets/census_normed.csv")
write_csv(agg_state_info_normed, "./../datasets/agg_state_info_normed.csv")
# Example use to get TX specifically
ks = 2:4
WSS <- sapply(ks, FUN = function(k) {
kmeans(census_normed %>% filter(state=="TX")
%>% select_if(is.double), centers = k, nstart = 5)$tot.withinss
})
ggplot(as_tibble(ks, WSS), aes(ks, WSS)) + geom_line() +
geom_vline(xintercept = 4, color = "red", linetype = 2)
# Example using aggregated state data
ks = 2:4
WSS <- sapply(ks, FUN = function(k) {
kmeans(agg_state_info_normed %>% select_if(is.double),
centers = k, nstart = 5)$tot.withinss
})
ggplot(as_tibble(ks, WSS), aes(ks, WSS)) + geom_line() +
geom_vline(xintercept = 4, color = "red", linetype = 2)
---
title: "R Notebook"
output: html_notebook
---


```{r}
# Load in libraries 
library(beeswarm)
library(naniar)
library(zoo)
library(janitor)
library(dplyr)
library(plyr)
library(tidyverse)
library(ggplot2)
library(GGally) # for ggpairs
library(lubridate)
```

```{r}
# Load in data (only care about census to cluster on)
cases_plus_census <- read_csv("./../project_1/data/COVID-19_cases_plus_census.csv")
cases_plus_census
```

```{r}
# Add in the attributes we want to use
cols_keep <- c("county_fips_code", "county_name", "state", "confirmed_cases", "deaths", "median_income", "male_pop", "female_pop", "total_pop", "median_age", "worked_at_home", "male_65_to_66", "male_67_to_69", 
               "male_70_to_74", "male_75_to_79", "male_80_to_84",
               "male_85_and_over", "female_65_to_66", "female_67_to_69", 
               "female_70_to_74", "female_75_to_79", "female_80_to_84",
               "female_85_and_over")
subset_census <- cases_plus_census[cols_keep]

subset_census$male_elderly_pop <- subset_census %>% select(c("male_65_to_66",
                                                             "male_67_to_69", 
                                                             "male_70_to_74",
                                                             "male_75_to_79",
                                                             "male_80_to_84",
                                                             "male_85_and_over")
                                                           ) %>% rowSums()

subset_census$female_elderly_pop <- subset_census %>% select(c("female_65_to_66",
                                                             "female_67_to_69", 
                                                             "female_70_to_74",
                                                             "female_75_to_79",
                                                             "female_80_to_84",
                                                             "female_85_and_over")
                                                           ) %>% rowSums()


cols_keep <- c("county_fips_code", "county_name", "state", "confirmed_cases", "deaths", "median_income",
               "male_pop", "female_pop", "total_pop", "median_age",
               "worked_at_home", "male_elderly_pop", "female_elderly_pop")

subset_census <- subset_census[cols_keep]
subset_census <- subset_census %>% 
  mutate(county_fips_code = as.integer(county_fips_code)) %>%
  mutate(state = as.factor(state))
```
```{r}

columnNames <- colnames(subset_census)
keep_cols <- columnNames[!columnNames %in% c("county_fips_code", "county_name")]

# Aggregate by states (probably better way to do this but had issues with mean median income)
mm_income <- subset_census %>% select(keep_cols) %>% group_by(state) %>%
  summarise_at(c("median_income", "median_age"), mean) %>% ungroup() %>% 
  dplyr::rename(mean_median_income = median_income) %>% 
  dplyr::rename(mean_median_age = median_age)

keep_cols <- columnNames[!columnNames %in% c("county_fips_code", "county_name", "median_income", "median_age")]
agg_state_info <- subset_census %>% select(keep_cols) %>% group_by(state) %>%
  summarize_if(is.numeric, sum) %>% ungroup() %>% 
  left_join(mm_income, by="state")
 
# Aggregated state information (not normalized!)
agg_state_info
```
```{r}
# To be able to compare properly, convert to percentages for aggregated population stats

# Infections/deaths
subset_census$pct_infected <- subset_census$confirmed_cases/subset_census$total_pop
subset_census$pct_deaths <- subset_census$deaths/subset_census$total_pop
subset_census$mortality_rate <- subset_census$deaths/subset_census$confirmed_cases

# Male/female info
subset_census$pct_male_population <- subset_census$male_pop/subset_census$total_pop
subset_census$pct_female_population <- subset_census$female_pop/subset_census$total_pop

# Intermediate calculation
subset_census$elderly_pop <- subset_census$male_elderly_pop + subset_census$female_elderly_pop

# Elderly Info
subset_census$pct_elderly <- subset_census$elderly_pop/subset_census$total_pop
subset_census$pct_male_elderly <- subset_census$male_elderly_pop/subset_census$total_pop
subset_census$pct_female_elderly <- subset_census$female_elderly_pop/subset_census$total_pop

# Work from home
subset_census$pct_worked_at_home <- subset_census$worked_at_home/subset_census$total_pop

# Only keep newly made values
cols_keep <- c("county_fips_code", "county_name", "state", "pct_infected",
               "pct_deaths", "mortality_rate", "pct_elderly", "pct_male_elderly",
               "pct_female_elderly", "pct_male_population", 
               "pct_female_population", "pct_worked_at_home",
               "median_income", "median_age")


subset_census <- subset_census[cols_keep]
subset_census
```
```{r}
# Percentages for state specific data

# Infections/deaths
agg_state_info$pct_infected <- agg_state_info$confirmed_cases/agg_state_info$total_pop
agg_state_info$pct_deaths <- agg_state_info$deaths/agg_state_info$total_pop
agg_state_info$mortality_rate <- agg_state_info$deaths/agg_state_info$confirmed_cases

# Male/female info
agg_state_info$pct_male_population <- agg_state_info$male_pop/agg_state_info$total_pop
agg_state_info$pct_female_population <- agg_state_info$female_pop/agg_state_info$total_pop

# Intermediate calculation
agg_state_info$elderly_pop <- agg_state_info$male_elderly_pop + agg_state_info$female_elderly_pop

# Elderly Info
agg_state_info$pct_elderly <- agg_state_info$elderly_pop/agg_state_info$total_pop
agg_state_info$pct_male_elderly <- agg_state_info$male_elderly_pop/agg_state_info$total_pop
agg_state_info$pct_female_elderly <- agg_state_info$female_elderly_pop/agg_state_info$total_pop

# Work from home
agg_state_info$pct_worked_at_home <- agg_state_info$worked_at_home/agg_state_info$total_pop

# Only keep newly made values
cols_keep <- c("state", "pct_infected", "pct_deaths", "mortality_rate", 
               "pct_elderly", "pct_male_elderly", "pct_female_elderly", 
               "pct_male_population", "pct_female_population", 
               "pct_worked_at_home", "mean_median_income", "mean_median_age")


agg_state_info <- agg_state_info[cols_keep]
agg_state_info
```


```{r}
# Normalized attributes function
scale_numeric <- function(x) x %>% mutate_if(is.double, function(y) as.vector(scale(y)))

# Normalized full census data (with mean and std based on counties from all of U.S.)
census_normed <- subset_census %>% scale_numeric()

# Normalized state info (with mean and std based on counties from all of U.S.)
agg_state_info_normed <- agg_state_info %>% scale_numeric()

# These are the ones to use for clustering 
census_normed
agg_state_info_normed
```
```{r}
# Saving to csv for better loading in other branches
write_csv(census_normed, "./../datasets/census_normed.csv")
write_csv(agg_state_info_normed, "./../datasets/agg_state_info_normed.csv")
```


```{r}
# Example use to get TX specifically
ks = 2:4
WSS <- sapply(ks, FUN = function(k) {
  kmeans(census_normed %>% filter(state=="TX") 
         %>% select_if(is.double), centers = k, nstart = 5)$tot.withinss
  })

ggplot(as_tibble(ks, WSS), aes(ks, WSS)) + geom_line() +
  geom_vline(xintercept = 4, color = "red", linetype = 2)
```
```{r}
# Example using aggregated state data
ks = 2:4
WSS <- sapply(ks, FUN = function(k) {
  kmeans(agg_state_info_normed  %>% select_if(is.double),
         centers = k, nstart = 5)$tot.withinss
  })

ggplot(as_tibble(ks, WSS), aes(ks, WSS)) + geom_line() +
  geom_vline(xintercept = 4, color = "red", linetype = 2)
```


